Abstract : Nuclear Magnetic Resonance Spectroscopy (NMRS) is a widely known technique for chemical and biological molecule analysis. However due to the weakness of the NMR signals, it is very difficult to work on volumes lower than a mm³. That limitation has led to the development of miniaturized sensors such as microcoils, NV centers and atomic magnetometers. We will present our approach based on the use of Giant Magnetoresistive sensors (GMR) as wide band magnetic sensors to detect locally the NMR signal. GMR sensors and NMR set up have been specifically designed to have a detectivity in the range of 20pt/sqrt(Hz) and able to work with external magnetic field up to 1T. We will first present the results obtained at 0.3T on water, in the configuration where the local NMR is done on a high volume, highlighting the functionality of the set-up. Then we will show the results obtained also at 0.3T, of NMR spectroscopy of model liquids like Ethanol on a volume of the order of 20x20x20μm³. Finally, a result at a higher magnetic field, 0.6T, has also been obtained on water.